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Its obvious that a 32-bit software will run and perform better in a 64-bit computer. Other than that its very compatible and works freely. There is no if and but case regarding this thing. However a 64-bit software can't work in any of the state in a 32-bit computer.

Its obvious that a 32-bit software will run and perform better in a 64-bit computer.

You are wrong. The performance will be the same, a 32-bit program isn't going to be able to suddenly take advantage of the added features in the 64-bit architecture. However since you can have more memory in the computer you can run a lot more 32-bit applications at once but beyond that there is no performance difference for 32-bit applications when running on a 64-bit OS.

Some 64-bit applications can run a lot better than their 32-bit versions such as graphics programs, crypto or any other math heavy programs. Or programs that can benefit from using a lot more memory.

Having 8+GB of RAM can be really nice these days given how cheap memory is. On my home computer I have 16GB of RAM and although I rarely use more than 30% of it, Windows uses the rest for the program cache so all the programs I use load pretty fast which is nice.

Users who have thanked oracleguy for this post:

You are wrong. The performance will be the same, a 32-bit program isn't going to be able to suddenly take advantage of the added features in the 64-bit architecture. However since you can have more memory in the computer you can run a lot more 32-bit applications at once but beyond that there is no performance difference for 32-bit applications when running on a 64-bit OS.

Some 64-bit applications can run a lot better than their 32-bit versions such as graphics programs, crypto or any other math heavy programs. Or programs that can benefit from using a lot more memory.

Having 8+GB of RAM can be really nice these days given how cheap memory is. On my home computer I have 16GB of RAM and although I rarely use more than 30% of it, Windows uses the rest for the program cache so all the programs I use load pretty fast which is nice.

I must confess. Actually I didn't marked my own words, but in real I didn't meant that. I was also trying to say that obviously a 32 bit software can perform in a 64 bit OS and yes of course more 32 bit applications can run on the computer depending upon the memory.